| Abstract | Under certain conditions, a filtration on an augmented algebra A admits a related filtration on the Yoneda algebra E ( A ) : = Ext A ( K , K ) . We show that there exists a bigraded algebra monomorphism gr E ( A ) ↪ E Gr ( gr A ) , where E Gr ( gr A ) is the graded Yoneda algebra of grA. This monomorphism can be applied in the case where A is connected graded to determine that A has the K 2 property recently introduced by Cassidy and Shelton. |
